On non-oscillation on semi-axis of solutions of second order deviating differential equations

We obtain conditions for existence and (almost) non-oscillation of solutions of a second order linear homogeneous functional differential equations \begin{equation*} u"(x)+\sum_i p_i(x) u'(h_i(x))+\sum_i q_i(x) u(g_i(x)) = 0 \end{equation*} without the delay conditions $h_i(x),g_i(x)\l...

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Bibliographic Details
Main Authors: Sergey Labovskiy, Manuel Alves
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2018-12-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/143/4/mb143_4_3.pdf